An ( mathrm{X} ) band RADAR used for surveillance transmits a peak power of ( 20 mathrm{~kW} ) at ( 10 mathrm{GHz} ). The radar uses a dish antenna with a gain of ( 40 mathrm{~dB} ). The receiver has a bandwidth of ( 25 mathrm{MHz} ) and a noise figure of ( 10 mathrm{~dB} ) operating at room temperature ( (290 mathrm{~

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An  (  mathrm{X}  ) band RADAR used for surveillance transmits a peak power of  ( 20  mathrm{~kW}  ) at  ( 10  mathrm{GHz}  ). The radar uses a dish antenna with a gain of  ( 40  mathrm{~dB}  ). The receiver has a bandwidth of  ( 25  mathrm{MHz}  ) and a noise figure of  ( 10  mathrm{~dB}  ) operating at room temperature  ( (290  mathrm{~K})  ). The radar is used to detect an airplane with a radar cross section of  ( 10  mathrm{~m}^{2}  ) at a distance of  ( 1  mathrm{~km}  ). (a) Compute the return signal level  (  operatorname{Pr}  ) (in watts)? (b) Determine the SNR (in decibels) at the receiver output?

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